ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

• 
  A
• A B
• A' C
• U D

Identity w.r.t intersection in a power set of any set is

• ∅ A
• Set itself B
• Singleton set C
• {0} D

If we have a statement "if p then q" then q is called

• Conclusion A
• Implication B
• Unknown C
• Hypothesis D

{1, 2, 3, 4,.....} is set of ______

• Natural numbers A
• Whole numbers B
• Integers C
• Rational numbers D

If A ⊆ B then A ∪ B is

• A A
• B B
• A' C
• A ∩B D

The complement of set A relative to universal set U is the set

• {x / x∈ A∧ x∈ U} A
• {x / x∉ A∧ x ∈ U} B
• {x / x∈ A and x ∉ U} C
• A-U D

The set of natural numbers is a subset of

• {1, 2, 3, .... 100} A
• The set of whole numbers B
• {2, 4, 6, 8, .....} C
• None of these D

The sets {1, 2, 4} and {4, 6, 8, 10} are

• Equal sets A
• Equivalent sets B
• Disjoint sets C
• Over lapping sets D

Which of the following statement is true?

• A set is a collection of non-empty object A
• A set is a collection of only numbers B
• a set is any collection of things C
• a set is well-defined collection of objects D

A conditional is regarded as false only when the antecedent is true and consequent is

• True A
• False B
• Known C
• Unknown D

The identity elements with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

To each element of a group there corresponds ............. inverse element

• Two A
• One B
• No C
• Three D

Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is

• -a A
• a +1 B
• -1-a C
• None of these D

If B⊆ A, then complement of B in A is = -----------------------

• A-B A
• A∩B B
• B-A C
• A∪B D

• Conclusion A
• Implication B
• Antecedent C
• Hypothesis D

The set of complex numbers forms

• Commutative group w.r.t addition A
• Commutative group w.r.t multiplication B
• Commutative group w.r.t division C
• Non commutative group w.r.t addition D

(A∩Bc)c= -------------------------

• Ac∪Bc A
• Ac∪B B
• Ac∩B C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The set of first elements of the ordered pairs in a relation is called its

• domain A
• range B
• relation C
• function D

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

• 4 A
• 3 B
• 2 C
• 1 D

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

• -a A
• a + 1 B
• -2 -a C
• None of these D

The set of complex numbers forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Subtraction D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• 0 C
• Does not exist D

• A = B A
• B = C B
• A = C C
• None of these D

• A A
• A' B
• U C
• None of these D

The set of integer is

• Finite group A
• A group w.r.t addition B
• A group w.r.t multiplication C
• Not a group D

If there is one-one correspondence between A and B, then we write.

• A = B A
• A⊆ B B
• A⊇ B C
• A ∼ B D

A function whose range is just one element is called

• One-one function A
• Constant function B
• Onto function C
• Identity function D

If P is a proposition then its negative is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

If D = {a} , the P(D) =

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D